If f(x,y)=ayn+(bx+c) yn-1+(dx2+ex+f) yn-2+ +un(x)=0 (1), is the algebraic curve of nth order then, what is the condition for the curve to be symmetric about x-axis?

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TuteeHUB · Accepted Answer

NA

TuteeHUB · Answer

Only even powers of x appear in (1)

TuteeHUB · Answer

Only odd powers of x appear in (1)

TuteeHUB · Answer

Only odd powers of y appear in (1)

TuteeHUB · Answer

Only even powers of y appear in (1)

1.	If f(x,y)=ayn+(bx+c) yn-1+(dx2+ex+f) yn-2+ +un(x)=0 (1), is the algebraic curve of nth order then, what is the condition for the curve to be symmetric about x-axis?
A.	Only even powers of x appear in (1)
B.	Only odd powers of x appear in (1)
C.	Only odd powers of y appear in (1)
D.	Only even powers of y appear in (1)
Answer» E.

If f(x,y)=ayn+(bx+c) yn-1+(dx2+ex+f) yn-2+ +un(x)=0 (1), is the algebraic curve of nth order then, what is the condition for the curve to be symmetric about x-axis?

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